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Home » Stop Saying ‘Uh, thanks’—Surprise Your Coworkers with These Genius Gift Picks! - ToelettAPP

Stop Saying ‘Uh, thanks’—Surprise Your Coworkers with These Genius Gift Picks! - ToelettAPP

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Question:** The sides of a triangle are 9, 40, and 41 units. Find the length of the shortest altitude.

📌 First, verify the triangle is right-angled:

📌 9^2 + 40^2 = 81 + 1600 = 1681 = 41^2

📌 So it is a right triangle with legs 9 and 40, hypotenuse 41. The area is:

📌 A = \frac{1}{2} \times 9 \times 40 = 180 \text{ units}^2

📌 The altitudes corresponding to each side are:

📌 To side 9: \(h_9 = \frac{2A}{9} = \frac{360}{9} = 40\)

📌 To side 40: \(h_{40} = \frac{2A}{40} = \frac{360}{40} = 9\)

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